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Finding the Fourth Proportional to 15,382.50, 21,222.99 and 9,411.18

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Solution

The fourth proportional to 15,382.50, 21,222.99 and 9,411.18 is: 12,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.50 : 21,222.99 = 9,411.18 : x
  2. Step 2: Convert to fraction form
    15,382.50/21,222.99 = 9,411.18/x
  3. Step 3: Cross multiply
    15,382.50x = 21,222.99 × 9,411.18
  4. Step 4: Simplify right side
    15,382.50x = 199,733,379.03
  5. Step 5: Solve for x
    x = 199,733,379.03/15,382.50
  6. Step 6: Final answer
    x = 12,984.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.